Condition number bounds for IETI-DP methods that are explicit in h and p
Abstract
We study the convergence behavior of Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for solving large-scale algebraic systems arising from multi-patch Isogeometric Analysis. We focus on the Poisson problem on two dimensional computational domains. We provide a convergence analysis that covers several choices of the primal degrees of freedom: the vertex values, the edge averages, and the combination of both. We derive condition number bounds that show the expected behavior in the grid size h and that are quasi-linear in the spline degree p.
Keywords
Cite
@article{arxiv.1912.07909,
title = {Condition number bounds for IETI-DP methods that are explicit in h and p},
author = {Rainer Schneckenleitner and Stefan Takacs},
journal= {arXiv preprint arXiv:1912.07909},
year = {2021}
}
Comments
The first author was supported by the Austrian Science Fund (FWF): S117 and W1214-04, while the second author has received support by the Austrian Science Fund (FWF): P31048. Moreover, the authors thank Ulrich Langer for fruitful discussions and help with the study of existing literature